with clear solution

What is the present value of the firm's revenue stream given that the time path for a firm's revenue stream for the next x years is R(x) = 19 - x where x E [0,6]. The annual interest rate is 12% compounded continuously. Suppose that the inverse demand and supply functions are p = 200 - x2 and p = x2 + 38, respectively (where x is quantity and p is price). Using integral, determine the consumer, producer and social surplus